5 papers
Extinction drives emergent metastability in complex ecosystems
Jong Il Park, Tim Rogers, Joseph W. Baron
Extinction is inevitable; every species eventually dies out, impacting the ecosystem it is part of. Over the past few decades, extensive research stemming from the stability-divers…
Emergence of polymorphism in stochastic evolutionary games
Bill Nunn, Marcel Ortgiese, Tim Rogers
Deterministic evolutionary game theory makes no distinction between a monomorphic population of individuals all of whom share a mixed evolutionarily stable strategy and a polymorph…
Balancing innovation and assimilation in research communities
Bill Nunn, Maria Horner, Marcel Ortgiese +1
It has been statistically observed that the speed at which a corpus of knowledge advances does not scale linearly with quantities like the number of active researchers or number of…
Origins of Instability in Dynamical Systems on Undirected Networks
Shraosi Dawn, Subrata Ghosh, Chandrakala Meena +2
Robustness to perturbation is a key topic in the study of complex systems occurring across a wide variety of applications from epidemiology to biochemistry. Here we analyze the eig…
The Brownian marble
Samuel G. G. Johnston, Andreas Kyprianou, Tim Rogers +1
Let be a measurable function. Consider coalescing Brownian motions started from every point in the subset of $[0,\inf…